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Solving Inequalities

If x 4 - x ...

Question

If $\frac{x}{4} - \frac{x - 3}{6} = 1,$ then $x$ is equal to:

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Solution

Given $\frac{x}{4} - \frac{x - 3}{6} = 1 ⟹ \frac{3 x - 2 (x - 3)}{12} = 1 ⟹ x + 6 = 12 ⟹ x = 6$

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